Hummingbirds have unusually large hearts for their body size. If a person's heart were as

big as a hummingbird's, his or her heart would weigh as much as a large dog.

Information you will need:

An average hummingbird weighs 0.3524 ounces and has a heart that weighs 0.00875

ounces.

1 pound = 16 ounces

The average weight of a large dog is usually more than 80 pounds.

Leo weighs 192 pounds.

a.) How much would Leo's heart weigh if it were the same ratio as a hummingbird's?

Show your work on your paper.

b.) is the original claim true or false? Justify your reasoning here along with your answer.

Answers

Answer 1

Answer: 4.8lbs, This claim is false

Step-by-step explanation:

Answer 2

Leo weighs 192 pounds. Then Leo's heart weight will be 76.258 ounces. So, its claim is false.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Hummingbirds have abnormally huge hearts for their body size. In the event that an individual's heart was essentially as large as a hummingbird's, their heart would weigh as much as an enormous canine's. A typical hummingbird weighs 0.3524 ounces and has a heart that weighs 0.00875 ounces.

The ratio of heart to weight is given as,

Ratio = 0.00875 / 0.3524

Ratio = 0.024829

The average weight of a large dog is usually more than 80 pounds. Leo weighs 192 pounds. Then Leo's heart weight is calculated as,

⇒ 0.024829 x 192 x 16

⇒ 76.28 ounces

Their heart weight of Leo is less than the weight of the dog. So, its claim is false.

More about the ratio and the proportion link is given below.

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Related Questions

81, 6, 7, 1, 42
Mode ??
Median ??

Answers

Answer:

No mode

Median 7

Step-by-step explanation:

Mode: The mode is the element that occurs most in the data set. In this case, all elements occur only once, so there is no mode.

Median: Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

Answer:

Mode: no mode

No mode because there are no repeating numbers.

Median=7

Put in order from least to greatest- 1,6,7,42,81

Find the one in the middle- 7

How do you Multiply Radicals?????​

Answers

Answer:

1. [tex]4\sqrt{5}[/tex]

2. [tex]10\sqrt{10}[/tex]

Step-by-step explanation:

When you multiply radicals, you do the following

[tex]a\sqrt{b}\cdot c\sqrt{d}\\\\=ac\sqrt{bd}[/tex]

with that in mind

1.

[tex]\sqrt{16}\cdot \sqrt{5}[/tex]

here we don't need to multiply 16 times 5, because 16 = 4^2 and take the square root of it, gives you 4

[tex]=4\sqrt{5}[/tex]

2.

[tex]\sqrt{20}\cdot 5\sqrt{2}\\\\\longrightarrow 20 = 2^2\cdot 5\\\\=2\sqrt{5}\cdot5\sqrt{2}\\\\=(2\cdot5)\sqrt{5\cdot2}\\\\=10\sqrt{10}[/tex]

What is the equivalent division statement to 63 x 1/9

Answers

Answer:

7

Step-by-step explanation:

63x1/9

Hope that helps

Have a good day

In which quadrant does 694 lie?

Answers

Answer: C. quadrant l

Step-by-step explanation:

Angle 694° lies Quadrant IV which is correct option (D)

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values

What is the quadrant?

A quadrant is defined as an area contained by the x and y axes, which there are four quadrants in a graph.

For Quadrant  I : the value of x and y both are positive ( +,+ )

For Quadrant  II :  the value of x is negative and y is positive ( -,+ )

For Quadrant  III : the value of x is negative and y is negative ( -, - )

For Quadrant  IV : the value of x is positive and y is negative ( +, - )

Locate the quadrant of the angle.

If the angle is greater than 360°,

Subtract 360° until the angle is less than 360°.

⇒ 694 - 360

⇒ 334°

Hence, angle 694° lies Quadrant IV

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pls help due asap
Thanks in advance

Answers

Answer:

Angle ABF is 120°.

Step-by-step explanation:

Vertical angles are used to get the measure of angle ABG (3x) and FBE (2x) and all of those added together are 180. Then you use PEMDAS to get x. Then you find ABF by multiplying 3 by 30 (what you get when you use PEMDAS to find x) then you add 30 to that and you get 120.

20% of a number is 12.
what is the whole number?

Answers

60 would be the answer since 12•5=60 and 20•5=100

Answer:

60 that is the answer

Step-by-step explanation:

what is the rate unit for 1700 meters in 40 minutes



please help

Answers

Answer:

42.5m/s

Step-by-step explanation:

Divide by 40

Mrs. Wright makes cookies for the school bake sale. She uses the equation y = 0.50x to determine the cost, y, for x cookies. Which best represents the constant rate at which cookies are sold at the bake sale? The Answer choices are......
A.50 cookies per dollar
B. 5 cookies per dollar
C.$0.50 per cookie
D.$2 per cookie

Answers

Answer:

Option C : $0.50 per cookie is the right answer.

Step-by-step explanation:

Given that:

Equation used by Mrs. Wright is

y = 0.50x

Here,

y = cost of cookies

x = number of cookies

Thus,

Cost = Price per cookie * Number of cookies

On comparing

Cost per cookie = $0.50

Hence,

Option C : $0.50 per cookie is the right answer.

How many solutions exist for the given equation 12x + 1 = 3(4x + 1) -2

Answers

Answer:

All real numbers are solutions (hope that helps)

Step-by-step explanation:

12x+1=3(4x+1)−2

Step 1: Simplify both sides of the equation.

12x+1=3(4x+1)−2

12x+1=(3)(4x)+(3)(1)+−2(Distribute)

12x+1=12x+3+−2

12x+1=(12x)+(3+−2)(Combine Like Terms)

12x+1=12x+1

12x+1=12x+1

Step 2: Subtract 12x from both sides.

12x+1−12x=12x+1−12x

1=1

Step 3: Subtract 1 from both sides.

1−1=1−1

0=0

it says I have 4 cups of white paint for 3 cups of red paint? what is the equivalent for 1 cup of red paint in white paint?​

Answers

Answer:

1 cup of red paint = 4/3 or 1  1/3 cups of white paint

Simon makes a model of a boat, using a scale of 1 : 30


If the model has a height of 40 cm, find the height of the real boat.


Give your answer in metres.

Answers

Answer: 12 metres

Step-by-step explanation:

The scale factor used for the model is 1 : 30.

This means that for any 1cm on the model, the real boat would be 30 cm.

If the height is 40 cm on the model, the real boat will be 30 times that:

= 40 * 30

= 1,200 cm

A metre is equivalent to 100cm.

1,200 cm would therefore be:

= 1,200/100

= 12 metres

Mariana wears her winter coat when the temperature is colder than -4 degrees Celsius

Answers

Answer:

It is very cool that Mariana wears her winter coat when the temperature is colder than -4 degrees Celsius

that means when it is 10 degrees Celsius, she won't wear her winter coat

The perimeter of the triangle below is 8x - 6.

Q

X + 1

P.

R

3x - 1

Which expression rrepresents the length of QR ?


helpppp

Answers

Answer:

QR = 4x - 6

Step-by-step explanation:

A triangle is a polygon that has three sides and three angles. There are different types of triangles such as equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.

The perimeter of a triangle is a measure of the length of the sides. It is the sum of all the length of the three sides of the triangle.

From the question:

Perimeter of triangle PQR = PQ + PR + QR

But PR = 3x - 1, PQ = x + 1, Perimeter of PQR = 8x - 6.

Therefore substituting gives:

8x - 6 = (x + 1) + (3x - 1) + QR

8x - 6 = (x + 3x + 1 - 1) + QR

8x - 6 = 4x + QR

QR = (8x - 6) - 4x

QR = 4x - 6

what is the y intercept of the line given by the equation below
y=-10x+14​

Answers

Answer:

(0, 14) is the y-intercept

Answer:

14 is the y-intercept

Step-by-step explanation:

10 would be the slope so that leaves 14 which is the y intercept

Piper opened a savings account with $1400 that pays no interest. She deposits an
additional $50 each week thereafter. How much money would Piper have in the
account 47 weeks after opening the account?

Answers

Answer:  Piper will have $3750  

Step-by-step explanation:

In this situation we will represent the total amount she have in the bank by y and the number of weeks by x

The whole situation can be represented by the the equation

  y = 1400 + 50x  where y is the total amount , 1400 is the initial amount Piper deposited , 50 is of course the amount Piper will deposit each week , and x is the number of weeks.

Now since they are looking for the amount Piper will have in his account, you have to input 47 for x and solve for y.

y = 1400 + 50(47)

y = 1400 + 2350

y = 3750

PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.

Answers

Answer:

33cm^2

Step-by-step explanation:

Add the areas of the individual shapes so one rectangle and a square.

4*2 + 5*5 > 8 + 25 = 33

Answer:

31 cm²

Step-by-step explanation:

The area of the large figure is the sum of the areas of the smaller rectangles, the 4 cm x 2 cm one and the 5 cm x 5 cm one.

Area of the 4 x 2: 4 x 2 = 8 cm²

Area of the 5 x 5: 5 x 5 = 25 cm²

Sum of the two: 8 cm² + 25 cm² = 31 cm²

What is the volume of the tent?

Answers

The answer is 192


Explanation

what is -9 - (-4) =
what is 5 - -5

Answers

first one is -5
second one is 10

Answer:

1. it would be -5

2. It would be 10

Step-by-step explanation:

two negatives equal a positive.

-9+4= -5

5+5=10

Please help me. You will be marked brainliest.

Answers

Answer:

What do you need help with?

Step-by-step explanation:

Please help can some one explain to no how to get the answer

Answers

Answer:

2(-2)+1

Step-by-step explanation:

All you have to do is replace x with-1

The dimensions of a rectangle are given in terms of S as shown below or above.

Q. Which expression represents the perimeter of the rectangle? Mark all that apply.

Answers

Answer:

A and D

Step-by-step explanation:

It should be Sx2 + 2(S+ 1/2)

Which is equal to 4s+1

and 2(2s + 1/2) is equal to 4s+1 as well

15 x -3=?

5
45
-45
-5

Answers

Answer:

- 45

hope it's helpful ❤❤❤❤

THANK YOU.

what is 10% of 50 ??

Answers

Answer:

5

Step-by-step explanation:

10% = 0.1

0.1*50 = 5

Answer:

5

Step-by-step explanation:

10 percent *50 =

( 10:100)*50 =

( 10*50):100 =

500:100 = 5

Now we have: 10 percent of 50 = 5

Somebody help plz I need some help

Answers

Answer:

[C] 44°

Explanation:

That Is A Right Angle, So x° + 46° Needs To Equal 90°

Equation: x + 46 = 90

Subtract 46 From Both Sides

x + 46 - 46 = 90 - 46

x = 44

B = 44°
Answer:
C. 44°
Explanation:

After paying $8.07 for a pizza, Jessica has $9.72. How much money did she have before buying the pizza?

Answers

Answer:

$17.79

Step-by-step explanation:

9.72+8.07=17.79

Answer:

$17.34

Step-by-step explanation:

Just add

$8.07+$9.72

Volume?? Please help giving out brainliest and 12 points for answering

Answers

Answer:

1395

Step-by-step explanation:

Since the Hight of the rectangular prism is 7 we can subtract that from 17 to get 10 for the Hight of the pyramid

volume of rectangular prism is 15·9·7=945

volume of pyramid is (15·9·10)/3=450

add

450+945=1395

The model represents an equation. What value of x makes the equation true?

Answers

Answer:

x=2,25=2 1/4

Step-by-step explanation:

-3x+10=5x-8

10+8=8x

x=2,25=2 1/4

what is 8u+17=17 what is u = to

Answers

Answer:

[tex]8u+ 17 = 17 \\ 8u = 17 - 17 \\ 8u = 0\\ u = \frac{0}{8} \\ \boxed{u = 0}[/tex]

u=0 is the right answer.

you would try to isolate u first. to do this, subtract 17 from each side. you should have 8u=0. then, divide 8 from each side. you should have u=0.

Kim’s family invested $3000 in a certificate of deposit (CD) for her when she was born. the interest rate is 8% and is compounded quarterly. what is the value of the CD in 5 years? what is the value of the CD if it is compounded annually for 15 years?

Answers

Answer:Kim’s family invested $3000

Step-by-step explanation:

The value of the CD will be an amount of $7487.01 if it is compounded annually for 15 years.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

To find the value of the CD in 5 years, you need to calculate the compound interest earned over 5 years.

The interest rate is 8% per year, so the interest rate per quarter is 8% / 4 = 2%.

The value of the CD at the end of each quarter can be calculated using the formula:

CD value at end of quarter = CD value x (1 + interest rate per quarter)

For example, at the end of the first quarter, the CD value would be:

CD value at end of first quarter = $3000 x (1 + 0.02) = $3060

You can repeat this process for each quarter to find the CD value at the end of 5 years.

After 5 years, there will have been 20 quarters (5 years x 4 quarters per year), so the CD value at the end of 5 years will be:

CD value at end of 5 years = $3000 x (1 + 0.02)²⁰ = $4393.84

To find the value of the CD if it is compounded annually for 15 years, you can use the same formula, but use the annual interest rate of 8% and the number of years of 15. The CD value at the end of 15 years will be:

CD value at end of 15 years = $3000 x (1 + 0.08)¹⁵ = $7487.01

To learn more about Compound interest click here:

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Billy wrote a total of 32 pages over 16 hours. After spending 21 hours writing this week, how many pages will Billy have written in total? Assume the relationship is directly proportional.

Answers

Answer:

42

Step-by-step explanation:

Answer:

I'm not 100% sure about this but i think its 42

Step-by-step explanation:

this is what i did

32/16=2

2*21=42

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